Journal
JOURNAL OF ALGEBRA
Volume 585, Issue -, Pages 697-722Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jalgebra.2021.06.024
Keywords
Lie algebra; Potentially nilpotent Lie algebra; Pro-nilpotent Lie algebra; Cohomology group
Categories
Funding
- Agencia Estatal de Investigacion (Spain) (European FEDER, UE) [PID2020115155GB-I00]
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The paper investigates the class of all solvable extensions of an infinite-dimensional filiform Leibniz algebra, where the second cohomology group of the extension is proven to be trivial.
In the paper we describe the class of all solvable extensions of an infinite-dimensional filiform Leibniz algebra. The filiform Leibniz algebra is taken as a maximal pro-nilpotent ideal of a residually solvable Leibniz algebra. It is proven that the second cohomology group of the extension is trivial. (C) 2021 Elsevier Inc. All rights reserved.
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